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Finding the Fourth Proportional to 862.56, 1,293.30 and 399.69

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Solution

The fourth proportional to 862.56, 1,293.30 and 399.69 is: 599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.56 : 1,293.30 = 399.69 : x
  2. Step 2: Convert to fraction form
    862.56/1,293.30 = 399.69/x
  3. Step 3: Cross multiply
    862.56x = 1,293.30 × 399.69
  4. Step 4: Simplify right side
    862.56x = 516,919.08
  5. Step 5: Solve for x
    x = 516,919.08/862.56
  6. Step 6: Final answer
    x = 599.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.